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Finding the Fourth Proportional to 12,213.63, 18,322.92 and 5,193.63

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Solution

The fourth proportional to 12,213.63, 18,322.92 and 5,193.63 is: 7,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.63 : 18,322.92 = 5,193.63 : x
  2. Step 2: Convert to fraction form
    12,213.63/18,322.92 = 5,193.63/x
  3. Step 3: Cross multiply
    12,213.63x = 18,322.92 × 5,193.63
  4. Step 4: Simplify right side
    12,213.63x = 95,162,467.00
  5. Step 5: Solve for x
    x = 95,162,467.00/12,213.63
  6. Step 6: Final answer
    x = 7,791.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.